Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983aj.....88.1560b&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 88, Oct. 1983, p. 1560-1568.
Astronomy and Astrophysics
Astronomy
42
Astrodynamics, Celestial Mechanics, Orbit Perturbation, Saturn Rings, Uranus Rings, Apsides, Eccentric Orbits, Elliptical Orbits, Gravitational Fields, Orbital Elements, Planetary Evolution, Precession, Viscous Damping
Scientific paper
The paper investigates the evolution of eccentric rings under the influence of (1) differential precession due to the planetary quadrupole moment; (2) self-gravity; (3) viscous forces due to interparticle collisions; and (4) eccentricity excitation by shepherd satellites. The principal conclusions are that: (1) uniform precession can be enforced by self-gravity; the resulting configuration is both dynamically and secularly stable. (2) due to viscous forces the line of apsides at the inner ring edge is not exactly aligned with the line of apsides at the outer edge; the apse shift may be detectable in the alpha and beta rings of Uranus; (3) the mean eccentricity is determined by a balance between viscous damping and excitation by shepherds; (4) and the dimensionless eccentricity gradient is expected to be positive and of order unity in most eccentric rings, as observed.
Borderies Nicole
Goldreich Peter
Tremaine Scott
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